101100600072 has 192 divisors, whose sum is σ = 289347252480. Its totient is φ = 31827603456.

The previous prime is 101100600061. The next prime is 101100600089. The reversal of 101100600072 is 270006001101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77948928 + ... + 77950224.

It is an arithmetic number, because the mean of its divisors is an integer number (1507016940).

Almost surely, 2^101100600072 is an apocalyptic number.

101100600072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101100600072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144673626240).

101100600072 is an abundant number, since it is smaller than the sum of its proper divisors (188246652408).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101100600072 is a wasteful number, since it uses less digits than its factorization.

101100600072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1892 (or 1885 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

Adding to 101100600072 its reverse (270006001101), we get a palindrome (371106601173).

The spelling of 101100600072 in words is "one hundred one billion, one hundred million, six hundred thousand, seventy-two".